Question

Geometry- Reason 2, Statment 3, & Statement 4 (question #16)16. Reason #2 *a) Substitution Propertyb) Symmetric Propertyc) Reflexive Propertyd) none of the choices16. Statement #3 *a) angle C is congruent to angle Bb) None of the choicesc) angle A is congruent to angle C16. Reason #4 *a) Definition of congruent trianglesb) none of the choicesc) SAS

Answer 1

Remember that

If two triangles are congruent, then their corresponding sides and their corresponding angles are congruent

so

statements

1 -------> given

2 BD≅ BD ------> by Reflexive Property

3 we have that

The third angle theorem states that ----> Third angles are equal if the other two sets are each congruent

therefore

3) Third angles theorem

4) ΔABD≅ ΔCDB -------> by ASA congruence theorem